Question # The work done on a particle of mass ( m ) by a force, ( Kleft[frac{x}{left(x^{2}+y^{2}right)^{3 / 2}} hat{mathbf{i}}+frac{y}{left(x^{2}+y^{2}right)^{3 / 2}} hat{mathbf{j}}right](K ) being a constant of appropriate dimensions), when the particle is taken from the point ( (a, 0) ) to the point ( (0, a) ) along a circular path of radius ( a ) about the origin in the ( x ) - ( y ) plane is

# The work done on a particle of mass ( m ) by a force, ( Kleft[frac{x}{left(x^{2}+y^{2}right)^{3 / 2}} hat{mathbf{i}}+frac{y}{left(x^{2}+y^{2}right)^{3 / 2}} hat{mathbf{j}}right](K ) being a constant of appropriate dimensions), when the particle is taken from the point ( (a, 0) ) to the point ( (0, a) ) along a circular path of radius ( a ) about the origin in the ( x ) - ( y ) plane is

(a) ( frac{2 K pi}{a} )

(b) ( frac{K pi}{a} )

(c) ( frac{K pi}{2 a} )

(d) 0

Solution

since, ( mathbf{F} ) is along ( mathbf{r} ) or in radial direction....(Read complete answer below..)